Question

In the accompanying diagram, line n is parallel to
line m, line t is a transversal, and m<1 = 24.

What does x equal, in degrees?
1) 24
2) 66
3) 114
4) 156

Answer 1

here too same procedure
4) 156 is the answer

Answer 2

Using the appropriate angle theorems, the value of the angle x in the diagram given is 156°

From the diagram :

m∠1 = 24°

The angle vertically opposite m∠1 = 24° (vertically opposite angles are equal)

The other two angle which makes the angle total angle at a point ; let the angle be y

• 24 + 24 + 2y = 360 (sum of angles at a point)

2y + 48 = 360

2y = 312

y = 312 / 2

y = 156°

Angle, x is corresponding to y ; Hence, the value of angle x is 156°

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